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Simplifying -11x + -4(5 + -5x) = 5(x + -5) + -27 -11x + (5 * -4 + -5x * -4) = 5(x + -5) + -27 -11x + (-20 + 20x) = 5(x + -5) + -27 Reorder the terms: -20 + -11x + 20x = 5(x + -5) + -27 Combine like terms: -11x + 20x = 9x -20 + 9x = 5(x + -5) + -27 Reorder the terms: -20 + 9x = 5(-5 + x) + -27 -20 + 9x = (-5 * 5 + x * 5) + -27 -20 + 9x = (-25 + 5x) + -27 Reorder the terms: -20 + 9x = -25 + -27 + 5x Combine like terms: -25 + -27 = -52 -20 + 9x = -52 + 5x Solving -20 + 9x = -52 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -20 + 9x + -5x = -52 + 5x + -5x Combine like terms: 9x + -5x = 4x -20 + 4x = -52 + 5x + -5x Combine like terms: 5x + -5x = 0 -20 + 4x = -52 + 0 -20 + 4x = -52 Add '20' to each side of the equation. -20 + 20 + 4x = -52 + 20 Combine like terms: -20 + 20 = 0 0 + 4x = -52 + 20 4x = -52 + 20 Combine like terms: -52 + 20 = -32 4x = -32 Divide each side by '4'. x = -8 Simplifying x = -8
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